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Simplifying 39(4x + 3) = 2x + -5(3 + -1x) + 2 Reorder the terms: 39(3 + 4x) = 2x + -5(3 + -1x) + 2 (3 * 39 + 4x * 39) = 2x + -5(3 + -1x) + 2 (117 + 156x) = 2x + -5(3 + -1x) + 2 117 + 156x = 2x + (3 * -5 + -1x * -5) + 2 117 + 156x = 2x + (-15 + 5x) + 2 Reorder the terms: 117 + 156x = -15 + 2 + 2x + 5x Combine like terms: -15 + 2 = -13 117 + 156x = -13 + 2x + 5x Combine like terms: 2x + 5x = 7x 117 + 156x = -13 + 7x Solving 117 + 156x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 117 + 156x + -7x = -13 + 7x + -7x Combine like terms: 156x + -7x = 149x 117 + 149x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 117 + 149x = -13 + 0 117 + 149x = -13 Add '-117' to each side of the equation. 117 + -117 + 149x = -13 + -117 Combine like terms: 117 + -117 = 0 0 + 149x = -13 + -117 149x = -13 + -117 Combine like terms: -13 + -117 = -130 149x = -130 Divide each side by '149'. x = -0.8724832215 Simplifying x = -0.8724832215
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